bokomslag The Gradient Discretisation Method

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497 sidor
2018

This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. LerayLions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.

Författare: Jrme Droniou, Robert Eymard, Thierry Gallout, Cindy Guichard, Raphale Herbin
Illustratör: Bibliographie
Format: Pocket/Paperback
ISBN: 9783319790411
Språk: Engelska
Antal sidor: 497
Utgivningsdatum: 2018-08-11
Förlag: Springer International Publishing AG